Math Problem Statement
Solution
To find the equation of the line that passes through the point and has a slope of 0:
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A line with a slope of 0 is horizontal. Therefore, the y-value is constant for all points on the line.
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The equation of a horizontal line passing through a point is , where is the constant y-value.
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For the point , the y-coordinate is . Hence, the equation of the line is:
Would you like further details or a graphical explanation?
Here are 5 related questions to extend your understanding:
- What is the equation of a vertical line passing through a specific point?
- How do you determine the slope of a line from two given points?
- How can you find the equation of a line with a nonzero slope?
- What are the general forms of linear equations, and when is each used?
- How do horizontal and vertical lines relate to the concept of slope?
Tip: A horizontal line always has a slope of 0, and its equation is determined solely by the y-coordinate.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Slopes of Lines
Formulas
Equation of a line: y = mx + b
Horizontal line: y = c
Theorems
Properties of horizontal lines
Suitable Grade Level
Grades 6-8
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